mirror of
https://review.haiku-os.org/buildtools
synced 2025-01-19 21:01:18 +01:00
b58ddff026
* merged mpfr 3.0.0 and gmp 5.0.1 in buildtools trunk git-svn-id: file:///srv/svn/repos/haiku/buildtools/trunk@37378 a95241bf-73f2-0310-859d-f6bbb57e9c96
367 lines
9.7 KiB
C
367 lines
9.7 KiB
C
/* Test file for mpfr_sin.
|
|
|
|
Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
|
|
Contributed by the Arenaire and Cacao projects, INRIA.
|
|
|
|
This file is part of the GNU MPFR Library.
|
|
|
|
The GNU MPFR Library is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation; either version 3 of the License, or (at your
|
|
option) any later version.
|
|
|
|
The GNU MPFR Library is distributed in the hope that it will be useful, but
|
|
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
|
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
|
|
License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
|
|
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
|
|
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
|
|
|
|
#include <stdlib.h>
|
|
|
|
#include "mpfr-test.h"
|
|
|
|
#ifdef CHECK_EXTERNAL
|
|
static int
|
|
test_sin (mpfr_ptr a, mpfr_srcptr b, mpfr_rnd_t rnd_mode)
|
|
{
|
|
int res;
|
|
int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_get_prec (a)>=53;
|
|
if (ok)
|
|
{
|
|
mpfr_print_raw (b);
|
|
}
|
|
res = mpfr_sin (a, b, rnd_mode);
|
|
if (ok)
|
|
{
|
|
printf (" ");
|
|
mpfr_print_raw (a);
|
|
printf ("\n");
|
|
}
|
|
return res;
|
|
}
|
|
#else
|
|
#define test_sin mpfr_sin
|
|
#endif
|
|
|
|
static void
|
|
check53 (const char *xs, const char *sin_xs, mpfr_rnd_t rnd_mode)
|
|
{
|
|
mpfr_t xx, s;
|
|
|
|
mpfr_init2 (xx, 53);
|
|
mpfr_init2 (s, 53);
|
|
mpfr_set_str1 (xx, xs); /* should be exact */
|
|
test_sin (s, xx, rnd_mode);
|
|
if (mpfr_cmp_str1 (s, sin_xs))
|
|
{
|
|
printf ("mpfr_sin failed for x=%s, rnd=%s\n",
|
|
xs, mpfr_print_rnd_mode (rnd_mode));
|
|
printf ("mpfr_sin gives sin(x)=");
|
|
mpfr_out_str (stdout, 10, 0, s, MPFR_RNDN);
|
|
printf (", expected %s\n", sin_xs);
|
|
exit (1);
|
|
}
|
|
mpfr_clear (xx);
|
|
mpfr_clear (s);
|
|
}
|
|
|
|
static void
|
|
check53b (const char *xs, const char *sin_xs, mpfr_rnd_t rnd_mode)
|
|
{
|
|
mpfr_t xx, s;
|
|
|
|
mpfr_init2 (xx, 53);
|
|
mpfr_init2 (s, 53);
|
|
mpfr_set_str (xx, xs, 2, MPFR_RNDN); /* should be exact */
|
|
test_sin (s, xx, rnd_mode);
|
|
if (mpfr_cmp_str (s, sin_xs, 2, MPFR_RNDN))
|
|
{
|
|
printf ("mpfr_sin failed in rounding mode %s for\n x = %s\n",
|
|
mpfr_print_rnd_mode (rnd_mode), xs);
|
|
printf (" got ");
|
|
mpfr_out_str (stdout, 2, 0, s, MPFR_RNDN);
|
|
printf ("\nexpected %s\n", sin_xs);
|
|
exit (1);
|
|
}
|
|
mpfr_clear (xx);
|
|
mpfr_clear (s);
|
|
}
|
|
|
|
static void
|
|
test_sign (void)
|
|
{
|
|
mpfr_t pid, piu, x, y;
|
|
int p, k;
|
|
|
|
mpfr_init2 (pid, 4096);
|
|
mpfr_const_pi (pid, MPFR_RNDD);
|
|
mpfr_init2 (piu, 4096);
|
|
mpfr_const_pi (piu, MPFR_RNDU);
|
|
mpfr_init (x);
|
|
mpfr_init2 (y, 2);
|
|
for (p = 8; p <= 128; p++)
|
|
for (k = 2; k <= 6; k += 2)
|
|
{
|
|
mpfr_set_prec (x, p);
|
|
mpfr_mul_ui (x, pid, k, MPFR_RNDD);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (MPFR_SIGN(y) > 0)
|
|
{
|
|
printf ("Error in test_sign for sin(%dpi-epsilon), prec = %d"
|
|
" for argument.\nResult should have been negative.\n",
|
|
k, p);
|
|
exit (1);
|
|
}
|
|
mpfr_mul_ui (x, piu, k, MPFR_RNDU);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (MPFR_SIGN(y) < 0)
|
|
{
|
|
printf ("Error in test_sign for sin(%dpi+epsilon), prec = %d"
|
|
" for argument.\nResult should have been positive.\n",
|
|
k, p);
|
|
exit (1);
|
|
}
|
|
}
|
|
|
|
/* worst case on 53 bits */
|
|
mpfr_set_prec (x, 53);
|
|
mpfr_set_prec (y, 53);
|
|
mpfr_set_str (x, "6134899525417045", 10, MPFR_RNDN);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
mpfr_set_str_binary (x, "11011010111101011110111100010101010101110000000001011E-106");
|
|
MPFR_ASSERTN(mpfr_cmp (x, y) == 0);
|
|
|
|
/* Bug on Special cases */
|
|
mpfr_set_str_binary (x, "0.100011011010111101E-32");
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (mpfr_cmp_str (y, "0.10001101101011110100000000000000000000000000000000000E-32", 2, MPFR_RNDN))
|
|
{
|
|
printf("sin special 97 error:\nx=");
|
|
mpfr_dump (x); printf("y=");
|
|
mpfr_dump (y);
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_set_prec (x, 53);
|
|
mpfr_set_prec (y, 53);
|
|
mpfr_set_str_binary (x, "1.1001001000011111101101010100010001000010110100010011");
|
|
mpfr_set_str_binary (y, "1.1111111111111111111111111111111111111111111111111111e-1");
|
|
test_sin (x, x, MPFR_RNDZ);
|
|
MPFR_ASSERTN(mpfr_cmp (x, y) == 0);
|
|
|
|
mpfr_clear (pid);
|
|
mpfr_clear (piu);
|
|
mpfr_clear (x);
|
|
mpfr_clear (y);
|
|
}
|
|
|
|
static void
|
|
check_nans (void)
|
|
{
|
|
mpfr_t x, y;
|
|
|
|
mpfr_init2 (x, 123L);
|
|
mpfr_init2 (y, 123L);
|
|
|
|
mpfr_set_nan (x);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (! mpfr_nan_p (y))
|
|
{
|
|
printf ("Error: sin(NaN) != NaN\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_set_inf (x, 1);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (! mpfr_nan_p (y))
|
|
{
|
|
printf ("Error: sin(Inf) != NaN\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_set_inf (x, -1);
|
|
test_sin (y, x, MPFR_RNDN);
|
|
if (! mpfr_nan_p (y))
|
|
{
|
|
printf ("Error: sin(-Inf) != NaN\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_clear (x);
|
|
mpfr_clear (y);
|
|
}
|
|
|
|
#define TEST_FUNCTION test_sin
|
|
#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
|
|
#include "tgeneric.c"
|
|
|
|
const char xs[] = "0.111011111110110000111000001100000111110E-1";
|
|
|
|
static void
|
|
check_regression (void)
|
|
{
|
|
mpfr_t x, y;
|
|
mpfr_prec_t p;
|
|
int i;
|
|
|
|
p = strlen (xs) - 2 - 3;
|
|
mpfr_inits2 (p, x, y, (mpfr_ptr) 0);
|
|
|
|
mpfr_set_str (x, xs, 2, MPFR_RNDN);
|
|
i = mpfr_sin (y, x, MPFR_RNDN);
|
|
if (i >= 0
|
|
|| mpfr_cmp_str (y, "0.111001110011110011110001010110011101110E-1",
|
|
2, MPFR_RNDN))
|
|
{
|
|
printf ("Regression test failed (1) i=%d\ny=", i);
|
|
mpfr_dump (y);
|
|
exit (1);
|
|
}
|
|
mpfr_clears (x, y, (mpfr_ptr) 0);
|
|
}
|
|
|
|
/* Test provided by Christopher Creutzig, 2007-05-21. */
|
|
static void
|
|
check_tiny (void)
|
|
{
|
|
mpfr_t x, y;
|
|
|
|
mpfr_init2 (x, 53);
|
|
mpfr_init2 (y, 53);
|
|
|
|
mpfr_set_ui (x, 1, MPFR_RNDN);
|
|
mpfr_set_exp (x, mpfr_get_emin ());
|
|
mpfr_sin (y, x, MPFR_RNDD);
|
|
if (mpfr_cmp (x, y) < 0)
|
|
{
|
|
printf ("Error in check_tiny: got sin(x) > x for x = 2^(emin-1)\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_sin (y, x, MPFR_RNDU);
|
|
mpfr_mul_2ui (y, y, 1, MPFR_RNDU);
|
|
if (mpfr_cmp (x, y) > 0)
|
|
{
|
|
printf ("Error in check_tiny: got sin(x) < x/2 for x = 2^(emin-1)\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_neg (x, x, MPFR_RNDN);
|
|
mpfr_sin (y, x, MPFR_RNDU);
|
|
if (mpfr_cmp (x, y) > 0)
|
|
{
|
|
printf ("Error in check_tiny: got sin(x) < x for x = -2^(emin-1)\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_sin (y, x, MPFR_RNDD);
|
|
mpfr_mul_2ui (y, y, 1, MPFR_RNDD);
|
|
if (mpfr_cmp (x, y) < 0)
|
|
{
|
|
printf ("Error in check_tiny: got sin(x) > x/2 for x = -2^(emin-1)\n");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_clear (y);
|
|
mpfr_clear (x);
|
|
}
|
|
|
|
int
|
|
main (int argc, char *argv[])
|
|
{
|
|
mpfr_t x, c, s, c2, s2;
|
|
|
|
tests_start_mpfr ();
|
|
|
|
check_regression ();
|
|
check_nans ();
|
|
|
|
/* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */
|
|
check53 ("4.984987858808754279e-1", "4.781075595393330379e-1", MPFR_RNDN);
|
|
check53 ("4.984987858808754279e-1", "4.781075595393329824e-1", MPFR_RNDD);
|
|
check53 ("4.984987858808754279e-1", "4.781075595393329824e-1", MPFR_RNDZ);
|
|
check53 ("4.984987858808754279e-1", "4.781075595393330379e-1", MPFR_RNDU);
|
|
check53 ("1.00031274099908640274", "8.416399183372403892e-1", MPFR_RNDN);
|
|
check53 ("1.00229256850978698523", "8.427074524447979442e-1", MPFR_RNDZ);
|
|
check53 ("1.00288304857059840103", "8.430252033025980029e-1", MPFR_RNDZ);
|
|
check53 ("1.00591265847407274059", "8.446508805292128885e-1", MPFR_RNDN);
|
|
|
|
/* Other worst cases showing a bug introduced on 2005-01-29 in rev 3248 */
|
|
check53b ("1.0111001111010111010111111000010011010001110001111011e-21",
|
|
"1.0111001111010111010111111000010011010001101001110001e-21",
|
|
MPFR_RNDU);
|
|
check53b ("1.1011101111111010000001010111000010000111100100101101",
|
|
"1.1111100100101100001111100000110011110011010001010101e-1",
|
|
MPFR_RNDU);
|
|
|
|
mpfr_init2 (x, 2);
|
|
|
|
mpfr_set_str (x, "0.5", 10, MPFR_RNDN);
|
|
test_sin (x, x, MPFR_RNDD);
|
|
if (mpfr_cmp_ui_2exp (x, 3, -3)) /* x != 0.375 = 3/8 */
|
|
{
|
|
printf ("mpfr_sin(0.5, MPFR_RNDD) failed with precision=2\n");
|
|
exit (1);
|
|
}
|
|
|
|
/* bug found by Kevin Ryde */
|
|
mpfr_const_pi (x, MPFR_RNDN);
|
|
mpfr_mul_ui (x, x, 3L, MPFR_RNDN);
|
|
mpfr_div_ui (x, x, 2L, MPFR_RNDN);
|
|
test_sin (x, x, MPFR_RNDN);
|
|
if (mpfr_cmp_ui (x, 0) >= 0)
|
|
{
|
|
printf ("Error: wrong sign for sin(3*Pi/2)\n");
|
|
exit (1);
|
|
}
|
|
|
|
/* Can fail on an assert */
|
|
mpfr_set_prec (x, 53);
|
|
mpfr_set_str (x, "77291789194529019661184401408", 10, MPFR_RNDN);
|
|
mpfr_init2 (c, 4); mpfr_init2 (s, 42);
|
|
mpfr_init2 (c2, 4); mpfr_init2 (s2, 42);
|
|
|
|
test_sin (s, x, MPFR_RNDN);
|
|
mpfr_cos (c, x, MPFR_RNDN);
|
|
mpfr_sin_cos (s2, c2, x, MPFR_RNDN);
|
|
if (mpfr_cmp (c2, c))
|
|
{
|
|
printf("cos differs for x=77291789194529019661184401408");
|
|
exit (1);
|
|
}
|
|
if (mpfr_cmp (s2, s))
|
|
{
|
|
printf("sin differs for x=77291789194529019661184401408");
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_set_str_binary (x, "1.1001001000011111101101010100010001000010110100010011");
|
|
test_sin (x, x, MPFR_RNDZ);
|
|
if (mpfr_cmp_str (x, "1.1111111111111111111111111111111111111111111111111111e-1", 2, MPFR_RNDN))
|
|
{
|
|
printf ("Error for x= 1.1001001000011111101101010100010001000010110100010011\nGot ");
|
|
mpfr_dump (x);
|
|
exit (1);
|
|
}
|
|
|
|
mpfr_clear (s2);
|
|
mpfr_clear (c2);
|
|
mpfr_clear (s);
|
|
mpfr_clear (c);
|
|
mpfr_clear (x);
|
|
|
|
test_generic (2, 100, 15);
|
|
test_sign ();
|
|
check_tiny ();
|
|
|
|
data_check ("data/sin", mpfr_sin, "mpfr_sin");
|
|
bad_cases (mpfr_sin, mpfr_asin, "mpfr_sin", 256, -40, 0, 4, 128, 800, 50);
|
|
|
|
tests_end_mpfr ();
|
|
return 0;
|
|
}
|